{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hierarchical Binominal Model: Rat Tumor Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running on PyMC3 v3.6\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "import pymc3.distributions.transforms as tr\n",
    "import theano.tensor as tt\n",
    "from scipy.special import gammaln\n",
    "\n",
    "plt.style.use('seaborn-darkgrid')\n",
    "print('Running on PyMC3 v{}'.format(pm.__version__))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This short tutorial demonstrates how to use pymc3 to do inference for the rat tumour example found in chapter 5 of *Bayesian Data Analysis 3rd Edition*.  Readers should already be familliar with the pymc3 api.\n",
    "\n",
    "Suppose we are interested in the probability that a lab rat develops endometrial stromal polyps.  We have data from 71 previously performed trials and would like to use this data to perform inference.\n",
    "\n",
    "The authors of BDA3 choose to model this problem heirarchically.  Let $y_i$ be the number of lab rats which develop endometrial stromal polyps out of a possible $n_i$.  We model the number rodents which develop endometrial stromal polyps as binomial\n",
    "\n",
    "$$ y_i \\sim \\operatorname{Bin}(\\theta_i;n_i)$$\n",
    "\n",
    "allowing the probability of developing an endometrial stromal polyp (i.e. $\\theta_i$) to be drawn from some population distribution.  For analytical tractability, we assume that $\\theta_i$ has Beta distribution\n",
    "\n",
    "$$ \\theta_i \\sim \\operatorname{Beta}(\\alpha, \\beta)$$\n",
    "\n",
    "We are free to specify a prior distribution for $\\alpha, \\beta$.  We choose a weakly informative prior distribution to reflect our ignorance about the true values of $\\alpha, \\beta$.  The authors of BDA3 choose the joint hyperprior for $\\alpha, \\beta$ to be\n",
    "\n",
    "$$ p(\\alpha, \\beta) \\propto (\\alpha + \\beta) ^{-5/2}$$\n",
    "\n",
    "For more information, please see *Bayesian Data Analysis 3rd Edition* pg. 110."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A Directly Computed Solution\n",
    "\n",
    "Our joint posterior distribution is\n",
    "\n",
    "$$p(\\alpha,\\beta,\\theta \\lvert y) \n",
    "\\propto \n",
    "p(\\alpha, \\beta) \n",
    "p(\\theta \\lvert \\alpha,\\beta)\n",
    "p(y \\lvert \\theta)$$\n",
    "\n",
    "which can be rewritten in such a way so as to obtain the marginal posterior distribution for $\\alpha$ and $\\beta$, namely\n",
    "\n",
    "$$ p(\\alpha, \\beta, \\lvert y) = \n",
    "p(\\alpha, \\beta) \n",
    "\\prod_{i = 1}^{N} \\dfrac{\\Gamma(\\alpha+\\beta)}{\\Gamma(\\alpha)\\Gamma(\\beta)}\n",
    "\\dfrac{\\Gamma(\\alpha+y_i)\\Gamma(\\beta+n_i - y_i)}{\\Gamma(\\alpha+\\beta+n_i)}$$\n",
    "\n",
    "\n",
    "See BDA3 pg. 110 for a more information on the deriving the marginal posterior distribution. With a little determination, we can plot the marginal posterior and estimate the means of $\\alpha$ and $\\beta$ without having to resort to MCMC.  We will see, however, that this requires considerable effort.\n",
    "\n",
    "The authors of BDA3 choose to plot the surfce under the paramterization $(\\log(\\alpha/\\beta), \\log(\\alpha+\\beta))$.  We do so as well.  Through the remainder of the example let $x = \\log(\\alpha/\\beta)$ and $z = \\log(\\alpha+\\beta)$.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# rat data (BDA3, p. 102)\n",
    "y = np.array([\n",
    "    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  1,  1,  1,\n",
    "    1,  1,  1,  1,  1,  2,  2,  2,  2,  2,  2,  2,  2,  2,  1,  5,  2,\n",
    "    5,  3,  2,  7,  7,  3,  3,  2,  9, 10,  4,  4,  4,  4,  4,  4,  4,\n",
    "    10,  4,  4,  4,  5, 11, 12,  5,  5,  6,  5,  6,  6,  6,  6, 16, 15,\n",
    "    15,  9,  4\n",
    "])\n",
    "n = np.array([\n",
    "    20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 17, 20, 20, 20,\n",
    "    20, 19, 19, 18, 18, 25, 24, 23, 20, 20, 20, 20, 20, 20, 10, 49, 19,\n",
    "    46, 27, 17, 49, 47, 20, 20, 13, 48, 50, 20, 20, 20, 20, 20, 20, 20,\n",
    "    48, 19, 19, 19, 22, 46, 49, 20, 20, 23, 19, 22, 20, 20, 20, 52, 46,\n",
    "    47, 24, 14\n",
    "])\n",
    "\n",
    "N = len(n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute on log scale because products turn to sums\n",
    "def log_likelihood(alpha, beta, y, n):\n",
    "    LL = 0\n",
    "\n",
    "    # Summing over data\n",
    "    for Y, N in zip(y, n):\n",
    "        LL += gammaln(alpha+beta) - gammaln(alpha) - gammaln(beta) + \\\n",
    "            gammaln(alpha+Y) + gammaln(beta+N-Y) - gammaln(alpha+beta+N)\n",
    "\n",
    "    return LL\n",
    "\n",
    "\n",
    "def log_prior(A, B):\n",
    "\n",
    "    return -5/2*np.log(A+B)\n",
    "\n",
    "\n",
    "def trans_to_beta(x, y):\n",
    "\n",
    "    return np.exp(y)/(np.exp(x)+1)\n",
    "\n",
    "\n",
    "def trans_to_alpha(x, y):\n",
    "\n",
    "    return np.exp(x)*trans_to_beta(x, y)\n",
    "\n",
    "\n",
    "# Create space for the parameterization in which we wish to plot\n",
    "X, Z = np.meshgrid(np.arange(-2.3, -1.3, 0.01), np.arange(1, 5, 0.01))\n",
    "param_space = np.c_[X.ravel(), Z.ravel()]\n",
    "df = pd.DataFrame(param_space, columns=['X', 'Z'])\n",
    "\n",
    "# Transform the space back to alpha beta to compute the log-posterior\n",
    "df['alpha'] = trans_to_alpha(df.X, df.Z)\n",
    "df['beta'] = trans_to_beta(df.X, df.Z)\n",
    "\n",
    "df['log_posterior'] = log_prior(\n",
    "    df.alpha, df.beta) + log_likelihood(df.alpha, df.beta, y, n)\n",
    "df['log_jacobian'] = np.log(df.alpha) + np.log(df.beta)\n",
    "\n",
    "df['transformed'] = df.log_posterior+df.log_jacobian\n",
    "df['exp_trans'] = np.exp(df.transformed - df.transformed.max())\n",
    "\n",
    "# This will ensure the density is normalized\n",
    "df['normed_exp_trans'] = df.exp_trans/df.exp_trans.sum()\n",
    "\n",
    "\n",
    "surface = df.set_index(['X', 'Z']).exp_trans.unstack().values.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 8))\n",
    "ax.contourf(X, Z, surface)\n",
    "ax.set_xlabel(r'$\\log(\\alpha/\\beta)$', fontsize=16)\n",
    "ax.set_ylabel(r'$\\log(\\alpha+\\beta)$', fontsize=16)\n",
    "\n",
    "ix_z, ix_x = np.unravel_index(np.argmax(surface, axis=None), surface.shape)\n",
    "ax.scatter([X[0, ix_x]], [Z[ix_z, 0]], color='red')\n",
    "\n",
    "text = r\"$({a},{b})$\".format(a=np.round(\n",
    "    X[0, ix_x], 2), b=np.round(Z[ix_z, 0], 2))\n",
    "\n",
    "ax.annotate(text,\n",
    "            xy=(X[0, ix_x], Z[ix_z, 0]),\n",
    "            xytext=(-1.6, 3.5),\n",
    "            ha='center',\n",
    "            fontsize=16,\n",
    "            color='black',\n",
    "            arrowprops={'facecolor':'white'}\n",
    "            );"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot shows that the posterior is roughly symetric about the mode (-1.79, 2.74).  This corresponds to $\\alpha = 2.21$ and $\\beta = 13.27$. We can compute the marginal means as the authors of BDA3 do, using\n",
    "\n",
    "$$ \\operatorname{E}(\\alpha \\lvert y) \\text{   is estimated by   }\n",
    "\\sum_{x,z} \\alpha p(x,z\\lvert y) $$\n",
    "\n",
    "$$ \\operatorname{E}(\\beta \\lvert y) \\text{   is estimated by   }\n",
    "\\sum_{x,z} \\beta p(x,z\\lvert y) $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.403"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Estimated mean of alpha\n",
    "(df.alpha*df.normed_exp_trans).sum().round(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "14.319"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Estimated mean of beta\n",
    "(df.beta*df.normed_exp_trans).sum().round(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing the Posterior using PyMC3\n",
    "\n",
    "Computing the marginal posterior directly is a lot of work, and is not always possible for sufficiently complex models. \n",
    "\n",
    "On the other hand, creating heirarchichal models in pymc3 is simple.  We can use the samples obtained from the posterior to estimate the means of $\\alpha$ and $\\beta$.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [theta, ab]\n",
      "Sampling 2 chains: 100%|██████████| 6000/6000 [00:22<00:00, 267.81draws/s]\n",
      "The number of effective samples is smaller than 25% for some parameters.\n"
     ]
    }
   ],
   "source": [
    "def logp_ab(value):\n",
    "    ''' prior density'''\n",
    "    return tt.log(tt.pow(tt.sum(value), -5/2))\n",
    "\n",
    "\n",
    "with pm.Model() as model:\n",
    "    # Uninformative prior for alpha and beta\n",
    "    ab = pm.HalfFlat('ab',\n",
    "                     shape=2,\n",
    "                     testval=np.asarray([1., 1.]))\n",
    "    pm.Potential('p(a, b)', logp_ab(ab))\n",
    "\n",
    "    X = pm.Deterministic('X', tt.log(ab[0]/ab[1]))\n",
    "    Z = pm.Deterministic('Z', tt.log(tt.sum(ab)))\n",
    "\n",
    "    theta = pm.Beta('theta', alpha=ab[0], beta=ab[1], shape=N)\n",
    "\n",
    "    p = pm.Binomial('y', p=theta, observed=y, n=n)\n",
    "    trace = pm.sample(1000, tune=2000, target_accept=0.95)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check the trace. Looks good!\n",
    "pm.traceplot(trace, var_names=['ab', 'X', 'Z']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot a kernel density estimate for $x$ and $y$. It looks rather similar to our countour plot made from the analytic marginal posterior density.  That's a good sign, and required far less effort."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.kdeplot(trace['X'], trace['Z'], shade=True, cmap='viridis');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From here, we could use the trace to compute the mean of the distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 993.6x331.2 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.plot_posterior(trace, var_names=['ab']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 2.43457925, 14.49150632])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# estimate the means from the samples\n",
    "trace['ab'].mean(axis=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "Analytically calculating statistics for posterior distributions is difficult if not impossible for some models.  Pymc3 provides an easy way drawing samples from your model's posterior with only a few lines of code.  Here, we used pymc3 to obtain estimates of the posterior mean for the rat tumor example in chapter 5 of BDA3. The estimates obtained from pymc3 are encouragingly close to the estimates obtained from the analytical posterior density."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "1. Gelman, Andrew, et al. *Bayesian Data Analysis*. CRC Press, 2013."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Authors: Demetri Pananos, Junpeng Lao"
   ]
  }
 ],
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